-13x^2+38x-25=0

Solution for -13x^2+38x-25=0 equation:

Simplifying
-13x2 + 38x + -25 = 0

Reorder the terms:
-25 + 38x + -13x2 = 0

Solving
-25 + 38x + -13x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-25 + 13x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-25 + 13x)' equal to zero and attempt to solve:

Simplifying
-25 + 13x = 0

Solving
-25 + 13x = 0

Move all terms containing x to the left, all other terms to the right.

Add '25' to each side of the equation.
-25 + 25 + 13x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 13x = 0 + 25
13x = 0 + 25

Combine like terms: 0 + 25 = 25
13x = 25

Divide each side by '13'.
x = 1.923076923

Simplifying
x = 1.923076923
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {1.923076923, 1}